378374304 has 192 divisors, whose sum is σ = 1311593472. Its totient is φ = 92467200.

The previous prime is 378374291. The next prime is 378374323. The reversal of 378374304 is 403473873.

It is a super-2 number, since 2×378374304² = 286334227854968832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124159 + ... + 127169.

It is an arithmetic number, because the mean of its divisors is an integer number (6831216).

Almost surely, 2^378374304 is an apocalyptic number.

378374304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378374304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655796736).

378374304 is an abundant number, since it is smaller than the sum of its proper divisors (933219168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378374304 is a wasteful number, since it uses less digits than its factorization.

378374304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 378374304 is about 19451.8457736021. The cubic root of 378374304 is about 723.2812581640.

It can be divided in two parts, 3783 and 74304, that added together give a palindrome (78087).

The spelling of 378374304 in words is "three hundred seventy-eight million, three hundred seventy-four thousand, three hundred four".